Answer:
[tex]Rate = 1[/tex]
Step-by-step explanation:
Given
[tex]g(x) = x + 7[/tex]
Interval: (-2,4)
Required
Determine the average rate of change
This is calculated using:
[tex]Rate = \frac{g(b) - g(a)}{b-a}[/tex]
Where:
[tex](a,b) = (-2,4)[/tex]
So, we have:
[tex]Rate = \frac{g(4) - g(-2)}{4-(-2)}[/tex]
[tex]Rate = \frac{g(4) - g(-2)}{4+2}[/tex]
[tex]Rate = \frac{g(4) - g(-2)}{6}[/tex]
Calculate g(4) and g(-2)
[tex]g(4) = 4 + 7 = 11[/tex]
[tex]g(-2) = -2 + 7 = 5[/tex]
So:
[tex]Rate = \frac{11 - 5}{6}[/tex]
[tex]Rate = \frac{6}{6}[/tex]
[tex]Rate = 1[/tex]
Hence, the average rate of change is 1
The sides of a triangle have lengths 2, 3, and 4. The perimeter of a similar triangle is 36. Find the length of the longest side of the larger triangle.
Answer:
The longest side of the larger triangle has a length of 16.
Step-by-step explanation:
The 2,3,4 triangle has a perimeter of 9. Which means the larger triangle is 4 times larger. That means the sides would be 8,12,16.
please help me answer this
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Answer:
wioajfcskaljfcksjhnfkmdesdn,k obviously
Step-by-step explanation:
HELP ME PLEASEEE DUE IN 2 MINS
[tex] \frac{ 1}{2 } \: \: and \: \frac{4}{5} [/tex]
Answer:
1.3 meters
Step-by-step explanation:
1/2 + 4/5 = 13/10
13/10 = 1 3/10
1 3/10 = 1.3
The second hand on Mr. Vidler's Alarm Clock is 6 cm long. Approximately how far does the tip travel in 5 minutes and 15 seconds? [Round your answer to the nearest tenth. Only type in the number, no units.]
Answer:
3.28 cm
Step-by-step explanation:
The computation is shown below:
The Radius of a circle be R
And, An arc be A
So, the length of the arc would be
L = (A ÷ 360°) × 2 × 3.14 × R
Here R = 6 cm
Angle = 5 minutes and 15 seconds
As we know that the clock has the complete revolution in 60 minutes
So
60 minutes = 360°
As we know that
60 seconds = 1 min
So,
1 = 1min ÷ 60seconds
15 seconds = 15 seconds × ((1 ÷ 60)
= (15 ÷ 60) min
= 0.25 min
So,
5 minutes and 15 seconds
= 5 min + 0.25 min
= 5.25 min
60 minutes = 360°
So,
1 = 360° ÷ 60min
For 5.25min
= (5.25min) × (360° ÷ 60min)
= 31.5°
Then we have A = 31.5°
Now the far would be
L = (31.5° ÷ 360°) × 2 × 3.14 × 6cm
= 3.28 cm
Find the circumference of the circle. Use 3.14 for . Round to the nearest hundredth, if necessary.
12.5 in.
The circumference of the circle is about
inches.
Answer: i got 78.54
rounded is 78.5
hope that helps
I’ll give the brainliest which equation represents a greater rate of change than the one shown in the graph below
Answer:
I think it’s B
Step-by-step explanation:
What is the 5 ^ (th) term in the sequence ?
Answer:
the answer is -16
Step-by-step explanation:
n= 5 so 5 - 1 = 4 so it's -1(2)^4 right
2^4 is equal to 16 and then -1(16) = -16
Help me with Question 4
Answer:
a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
This is cause the phrase two thirds refrences as two of three which is a fraction.
A teacher surveyed her students about the amount of time the students
studied for a test and plotted it with their corresponding scores. The data
is shown on the scatterplot below.
A
8.
What does the y-intercept of the best-fit linear model represent?
A student who studied for 48 minutes would expect a score of about
58 on the test.
A student who studied for 0 minutes would expect a score of about 48
on the test.
C. A student who studied for 44 minutes would expect a score of about
52 on the test.
D. A student who studied for 0 minutes would expect a score of about 44
on the test.
Review IF 6:10.7 Rate of Change in Context
Samantholimonadanthacown Sha.cocondrathambar
Answer:
c
Step-by-step explanation:
I just had the exact same question on a worksheet
MATH!!!!!!!!!!! OVER HERE / At the beginning of March, a store bought a Halloween mask at a cost of $10 and marked it up 60%. At the end of the month, the Halloween mask had not sold, so the store marked it down 40%. What was the discounted price?
Answer:
9.60
Step-by-step explanation:
100%->10
160%->16
-------------------------------------
100%->16
100%-40%=60%
60%->9.60
The ramp shown below is used to load heavy items into a moving van.
What is the measure of angle x?
Answer:
x = 18 degrees
Step-by-step explanation:
We are given 72 degrees. The box on the bottom left of the ramp is at a 90 degree angle. Given that this triangle will add up to 180 degrees no matter what we add the two given degrees; 72 + 90 = 162. Now we subtract; 180 - 162 = 18 degrees.
Help me solve this with the steps please :/
Answer:
Option (2)
Step-by-step explanation:
By applying tangent rule in the given right triangle,
tan(42°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(42°) = [tex]\frac{6}{\text{Width}}[/tex]
Width = [tex]\frac{6}{\text{tan}(42)}[/tex]
Width = 6.67
Therefore, width of the given triangle is 6.67 units.
Option (2) is the correct option.
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Hi there!
Matching Vocabulary...
I would be doing from up to down so you don’t mess up...
1. millimeters
2. mass
3. kilogram
4. capacity
5. liter
6. gram
Eight figures are below. Which ones are convex polygons?
Type your answer as a list, separated by commas. For example, if you believe A, B, and C are convex polygons, type A, B, C.
Please help me with the answer, I'm stuck!
Answer:
A,C,D.
Step-by-step explanation:
According to the definition of Convex polygon :
The figures shows the convex polygon are : A, C, D and F
A polygon is called a convex polygon when no line segments between the points, goes inside. The boundaries of the convex polygon do not go inside and all the vertices are pointed outside away from the center.
The interior angles of a convex polygon are less than 180°. Regularly, a polygon is firmly convex, if each line segment with two nonadjacent vertices of the polygon is strictly internal to the polygon but on its endpoints. Each non-fragment triangle is definitely convex.
Learn more about Convex polygon at:
https://brainly.com/question/9223125
#SPJ2
what is clairouts equation
pls help
576
4
48
144
Answer:
Step-by-step explanation:
4ft^2(144in^2/ft^2)=576 tiles
HELPPPP PLEASEEEEEE HELP ME
Look at the angle shown below. Estimate the measure of the angle. PLEASE ANSWER!!!!
Answer:
90 degrees
Step-by-step explanation:
The box means right angle, or 90 degrees.
Jan is making dinner. She uses 25 lbs of carrots in soup. She uses 3 of carrots in salad. About how many pounds of carrots did
Jan use in all?
Answer:
28 pounds of carrots.
Step-by-step explanation:
25+3=28
Solve this system by substitution, y = 1 -3x - 4y = 14 *Remember to write your answer as a coordinate point (x, y). 1
The base of a parallelogram is 1.4 feet long and the height is 0.32feet. What is the area of the parallelogram
Step-by-step explanation:
In a parallelogram
base (b) = 1.4 feet
height (h) = 0.32 feet
Now
Area of the parallelogram
= b * h
= 1.4 * 0.32
= 0.448 feet²
Hope it will help :)
Write the improper fraction as a mixed number 1879/12
The answer is 156 7/12. in a mixed number
In what way are graphs of systems of linear equations useful?
Answer:
The graphs of equations within a system can tell you how many solutions exist for that system. Look at the images below. Each shows two lines that make up a system of equations. If the graphs of the equations intersect, then there is one solution that is true for both equations.
It is very useful because we use Linear equations in our everyday life. Many people use linear equations every day, even if they do the calculations in their head without drawing a line graph.
The real importance of emphasizing graphing linear equations with your students, is that they should already know that any two points determine a line, so finding many pairs of values that satisfy a linear equation is easy: Find two pairs of values and draw a line through the points they describe.
17. The mapping shows a relationship between x and y. Which statement is 5 points
true of the mapping? *
-1
3
3
5
A. y is not a function of x, since the y-value 3 corresponds to two different x-values.
B.y is a function of x, since the y-values do correspond to exactly one x-value.
C. is not a function of x, since the x-values do not correspond to exactly one y-value.
D. y is a function of x, since the x-values do correspond to exactly one y-value
Answer:
c
Step-by-step explanation:
Answer:
C. is not a function of x, since the x-values do not correspond to exactly one y-value.
Select the equivalent expression . ( 8^ -5 2^ -2 )^ -4 =?
Answer:
C) [tex]\frac{8^{20} }{2^{8} }[/tex]
Step-by-step explanation:
Explanation:-
Given that the expression
[tex](\frac{8^{-5} }{2^{-2} } )^{-4}[/tex]
By using algebra formula
[tex](\frac{a}{b} )^{m} = \frac{a^{m} }{b^{n} }[/tex]
[tex](\frac{8^{-5} }{2^{-2} } )^{-4} = \frac{8^{-5X(-4)} }{2^{-2X(-4)} }[/tex]
= [tex]\frac{8^{20} }{2^{8} }[/tex]
Which expression is equivalent to 14y+y+3y + 14 - 2?
O 17y + 12
O 18y +12
29y
30y
what's is 12+12x7+43?
Answer:
12x7+55
Step-by-step explanation:
Answer:
139
Step-by-step explanation:
12+43=
55
12x7=
84
84+55=
139
College tuition at UCA has increased $500 per year for the past six years. Courtney is a freshman this year and paid $10,250 for tuition. Assuming the tuition rate remains constant, write an equation to represent the tuition at Central Arkansas University in x years.
has to be answered in slope-intercept form
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Plz help guys I need help